Petr Novotný
Standard Manin triples and corresponding Drinfeld doubles in dimension 4+4.
Drinfeld doubles and Manin triples have been systematically used in Poisson-Lie T-plurality, integrable systems, string backgrounds, and generalized geometry. The classification of these structures is known up to dimension 3+3. In higher dimensions, there are only isolated examples in the literature. We present a classification of a certain class of so-called standard Manin triples in dimension 4+4.